4959875801088 has 448 divisors, whose sum is σ = 16756490459520. Its totient is φ = 1436329967616.

The previous prime is 4959875801081. The next prime is 4959875801107. The reversal of 4959875801088 is 8801085789594.

4959875801088 is a `hidden beast` number, since 495 + 9 + 8 + 7 + 58 + 0 + 1 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (4959875801081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48830931 + ... + 48932397.

It is an arithmetic number, because the mean of its divisors is an integer number (37402880490).

Almost surely, 2^{4959875801088} is an apocalyptic number.

4959875801088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4959875801088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8378245229760).

4959875801088 is an abundant number, since it is smaller than the sum of its proper divisors (11796614658432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4959875801088 is a wasteful number, since it uses less digits than its factorization.

4959875801088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101532 (or 101502 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 72.

The spelling of 4959875801088 in words is "four trillion, nine hundred fifty-nine billion, eight hundred seventy-five million, eight hundred one thousand, eighty-eight".